What is the Least Common Multiple of 68692 and 68705?

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 68692 and 68705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68692 and 68705, than apply into the LCM equation.

GCF(68692,68705) = 13
LCM(68692,68705) = ( 68692 × 68705) / 13
LCM(68692,68705) = 4719483860 / 13
LCM(68692,68705) = 363037220

Least Common Multiple (LCM) of 68692 and 68705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68692 and 68705. First we will calculate the prime factors of 68692 and 68705.

Prime Factorization of 68692

Prime Factorization of 68705

Now multiplying the highest exponent prime factors to calculate the LCM of 68692 and 68705.

LCM(68692,68705) = 2² × 13¹ × 1321¹ × 5¹ × 7¹ × 151¹
LCM(68692,68705) = 363037220