What is the Least Common Multiple of 68731 and 68748?

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 68731 and 68748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68731 and 68748, than apply into the LCM equation.

GCF(68731,68748) = 17
LCM(68731,68748) = ( 68731 × 68748) / 17
LCM(68731,68748) = 4725118788 / 17
LCM(68731,68748) = 277948164

Least Common Multiple (LCM) of 68731 and 68748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68731 and 68748. First we will calculate the prime factors of 68731 and 68748.

Prime Factorization of 68731

Prime Factorization of 68748

Now multiplying the highest exponent prime factors to calculate the LCM of 68731 and 68748.

LCM(68731,68748) = 13¹ × 17¹ × 311¹ × 2² × 3¹ × 337¹
LCM(68731,68748) = 277948164