GCF and LCM Calculator Logo

What is the Least Common Multiple of 92938 and 92943?

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 92938 and 92943 is 8637936534.

LCM(92938,92943) = 8637936534

LCM Calculator and
and

Least Common Multiple of 92938 and 92943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92938 and 92943, than apply into the LCM equation.

GCF(92938,92943) = 1
LCM(92938,92943) = ( 92938 × 92943) / 1
LCM(92938,92943) = 8637936534 / 1
LCM(92938,92943) = 8637936534

Least Common Multiple (LCM) of 92938 and 92943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92938 and 92943. First we will calculate the prime factors of 92938 and 92943.

Prime Factorization of 92938

Prime factors of 92938 are 2, 31, 1499. Prime factorization of 92938 in exponential form is:

92938 = 21 × 311 × 14991

Prime Factorization of 92943

Prime factors of 92943 are 3, 23, 449. Prime factorization of 92943 in exponential form is:

92943 = 32 × 231 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 92938 and 92943.

LCM(92938,92943) = 21 × 311 × 14991 × 32 × 231 × 4491
LCM(92938,92943) = 8637936534