What is the Least Common Multiple of 94937 and 94953?
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 94937 and 94953 is 9014552961.
LCM(94937,94953) = 9014552961
Least Common Multiple of 94937 and 94953 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94937 and 94953, than apply into the LCM equation.
GCF(94937,94953) = 1
LCM(94937,94953) = ( 94937 × 94953) / 1
LCM(94937,94953) = 9014552961 / 1
LCM(94937,94953) = 9014552961
Least Common Multiple (LCM) of 94937 and 94953 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94937 and 94953. First we will calculate the prime factors of 94937 and 94953.
Prime Factorization of 94937
Prime factors of 94937 are 139, 683. Prime factorization of 94937 in exponential form is:
94937 = 1391 × 6831
Prime Factorization of 94953
Prime factors of 94953 are 3, 31, 1021. Prime factorization of 94953 in exponential form is:
94953 = 31 × 311 × 10211
Now multiplying the highest exponent prime factors to calculate the LCM of 94937 and 94953.
LCM(94937,94953) = 1391 × 6831 × 31 × 311 × 10211
LCM(94937,94953) = 9014552961
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