What is the Least Common Multiple of 77940 and 77957?

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 77940 and 77957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77940 and 77957, than apply into the LCM equation.

GCF(77940,77957) = 1
LCM(77940,77957) = ( 77940 × 77957) / 1
LCM(77940,77957) = 6075968580 / 1
LCM(77940,77957) = 6075968580

Least Common Multiple (LCM) of 77940 and 77957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77940 and 77957. First we will calculate the prime factors of 77940 and 77957.

Prime Factorization of 77940

Prime Factorization of 77957

Now multiplying the highest exponent prime factors to calculate the LCM of 77940 and 77957.

LCM(77940,77957) = 2² × 3² × 5¹ × 433¹ × 11¹ × 19¹ × 373¹
LCM(77940,77957) = 6075968580