GCF and LCM Calculator Logo

What is the Least Common Multiple of 92634 and 92650?

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 92634 and 92650 is 4291270050.

LCM(92634,92650) = 4291270050

LCM Calculator and
and

Least Common Multiple of 92634 and 92650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92634 and 92650, than apply into the LCM equation.

GCF(92634,92650) = 2
LCM(92634,92650) = ( 92634 × 92650) / 2
LCM(92634,92650) = 8582540100 / 2
LCM(92634,92650) = 4291270050

Least Common Multiple (LCM) of 92634 and 92650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92634 and 92650. First we will calculate the prime factors of 92634 and 92650.

Prime Factorization of 92634

Prime factors of 92634 are 2, 3, 15439. Prime factorization of 92634 in exponential form is:

92634 = 21 × 31 × 154391

Prime Factorization of 92650

Prime factors of 92650 are 2, 5, 17, 109. Prime factorization of 92650 in exponential form is:

92650 = 21 × 52 × 171 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 92634 and 92650.

LCM(92634,92650) = 21 × 31 × 154391 × 52 × 171 × 1091
LCM(92634,92650) = 4291270050