What is the Least Common Multiple of 7425 and 7442?
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 7425 and 7442 is 55256850.
LCM(7425,7442) = 55256850
Least Common Multiple of 7425 and 7442 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7425 and 7442, than apply into the LCM equation.
GCF(7425,7442) = 1
LCM(7425,7442) = ( 7425 × 7442) / 1
LCM(7425,7442) = 55256850 / 1
LCM(7425,7442) = 55256850
Least Common Multiple (LCM) of 7425 and 7442 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7425 and 7442. First we will calculate the prime factors of 7425 and 7442.
Prime Factorization of 7425
Prime factors of 7425 are 3, 5, 11. Prime factorization of 7425 in exponential form is:
7425 = 33 × 52 × 111
Prime Factorization of 7442
Prime factors of 7442 are 2, 61. Prime factorization of 7442 in exponential form is:
7442 = 21 × 612
Now multiplying the highest exponent prime factors to calculate the LCM of 7425 and 7442.
LCM(7425,7442) = 33 × 52 × 111 × 21 × 612
LCM(7425,7442) = 55256850
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