What is the Least Common Multiple of 62965 and 62979?

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 62965 and 62979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62965 and 62979, than apply into the LCM equation.

GCF(62965,62979) = 7
LCM(62965,62979) = ( 62965 × 62979) / 7
LCM(62965,62979) = 3965472735 / 7
LCM(62965,62979) = 566496105

Least Common Multiple (LCM) of 62965 and 62979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62965 and 62979. First we will calculate the prime factors of 62965 and 62979.

Prime Factorization of 62965

Prime Factorization of 62979

Now multiplying the highest exponent prime factors to calculate the LCM of 62965 and 62979.

LCM(62965,62979) = 5¹ × 7² × 257¹ × 3¹ × 2999¹
LCM(62965,62979) = 566496105