What is the Least Common Multiple of 7432 and 7437?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 7432 and 7437 is 55271784.
LCM(7432,7437) = 55271784
Least Common Multiple of 7432 and 7437 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7432 and 7437, than apply into the LCM equation.
GCF(7432,7437) = 1
LCM(7432,7437) = ( 7432 × 7437) / 1
LCM(7432,7437) = 55271784 / 1
LCM(7432,7437) = 55271784
Least Common Multiple (LCM) of 7432 and 7437 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7432 and 7437. First we will calculate the prime factors of 7432 and 7437.
Prime Factorization of 7432
Prime factors of 7432 are 2, 929. Prime factorization of 7432 in exponential form is:
7432 = 23 × 9291
Prime Factorization of 7437
Prime factors of 7437 are 3, 37, 67. Prime factorization of 7437 in exponential form is:
7437 = 31 × 371 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 7432 and 7437.
LCM(7432,7437) = 23 × 9291 × 31 × 371 × 671
LCM(7432,7437) = 55271784
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Related Least Common Multiples of 7437
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- LCM of 7437 and 7452
- LCM of 7437 and 7453
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