GCF and LCM Calculator Logo

What is the Least Common Multiple of 92961 and 92972?

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 92961 and 92972 is 785706372.

LCM(92961,92972) = 785706372

LCM Calculator and
and

Least Common Multiple of 92961 and 92972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92961 and 92972, than apply into the LCM equation.

GCF(92961,92972) = 11
LCM(92961,92972) = ( 92961 × 92972) / 11
LCM(92961,92972) = 8642770092 / 11
LCM(92961,92972) = 785706372

Least Common Multiple (LCM) of 92961 and 92972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92961 and 92972. First we will calculate the prime factors of 92961 and 92972.

Prime Factorization of 92961

Prime factors of 92961 are 3, 11, 313. Prime factorization of 92961 in exponential form is:

92961 = 33 × 111 × 3131

Prime Factorization of 92972

Prime factors of 92972 are 2, 11, 2113. Prime factorization of 92972 in exponential form is:

92972 = 22 × 111 × 21131

Now multiplying the highest exponent prime factors to calculate the LCM of 92961 and 92972.

LCM(92961,92972) = 33 × 111 × 3131 × 22 × 21131
LCM(92961,92972) = 785706372