What is the Least Common Multiple of 95977 and 95984?

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 95977 and 95984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95977 and 95984, than apply into the LCM equation.

GCF(95977,95984) = 7
LCM(95977,95984) = ( 95977 × 95984) / 7
LCM(95977,95984) = 9212256368 / 7
LCM(95977,95984) = 1316036624

Least Common Multiple (LCM) of 95977 and 95984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95977 and 95984. First we will calculate the prime factors of 95977 and 95984.

Prime Factorization of 95977

Prime Factorization of 95984

Now multiplying the highest exponent prime factors to calculate the LCM of 95977 and 95984.

LCM(95977,95984) = 7¹ × 13711¹ × 2⁴ × 857¹
LCM(95977,95984) = 1316036624