What is the Least Common Multiple of 92940 and 92960?

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 of 92940 and 92960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92940 and 92960, than apply into the LCM equation.

GCF(92940,92960) = 20
LCM(92940,92960) = ( 92940 × 92960) / 20
LCM(92940,92960) = 8639702400 / 20
LCM(92940,92960) = 431985120

Least Common Multiple (LCM) of 92940 and 92960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92940 and 92960. First we will calculate the prime factors of 92940 and 92960.

Prime Factorization of 92940

Prime Factorization of 92960

Now multiplying the highest exponent prime factors to calculate the LCM of 92940 and 92960.

LCM(92940,92960) = 2⁵ × 3¹ × 5¹ × 1549¹ × 7¹ × 83¹
LCM(92940,92960) = 431985120