What is the Least Common Multiple of 68978 and 68992?

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 68978 and 68992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68978 and 68992, than apply into the LCM equation.

GCF(68978,68992) = 14
LCM(68978,68992) = ( 68978 × 68992) / 14
LCM(68978,68992) = 4758930176 / 14
LCM(68978,68992) = 339923584

Least Common Multiple (LCM) of 68978 and 68992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68978 and 68992. First we will calculate the prime factors of 68978 and 68992.

Prime Factorization of 68978

Prime Factorization of 68992

Now multiplying the highest exponent prime factors to calculate the LCM of 68978 and 68992.

LCM(68978,68992) = 2⁷ × 7² × 13¹ × 379¹ × 11¹
LCM(68978,68992) = 339923584