What is the Least Common Multiple of 4637 and 4649?
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 4637 and 4649 is 21557413.
LCM(4637,4649) = 21557413
Least Common Multiple of 4637 and 4649 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4637 and 4649, than apply into the LCM equation.
GCF(4637,4649) = 1
LCM(4637,4649) = ( 4637 × 4649) / 1
LCM(4637,4649) = 21557413 / 1
LCM(4637,4649) = 21557413
Least Common Multiple (LCM) of 4637 and 4649 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4637 and 4649. First we will calculate the prime factors of 4637 and 4649.
Prime Factorization of 4637
Prime factors of 4637 are 4637. Prime factorization of 4637 in exponential form is:
4637 = 46371
Prime Factorization of 4649
Prime factors of 4649 are 4649. Prime factorization of 4649 in exponential form is:
4649 = 46491
Now multiplying the highest exponent prime factors to calculate the LCM of 4637 and 4649.
LCM(4637,4649) = 46371 × 46491
LCM(4637,4649) = 21557413
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Related Least Common Multiples of 4649
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