What is the Least Common Multiple of 68748 and 68765?

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 68748 and 68765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68748 and 68765, than apply into the LCM equation.

GCF(68748,68765) = 17
LCM(68748,68765) = ( 68748 × 68765) / 17
LCM(68748,68765) = 4727456220 / 17
LCM(68748,68765) = 278085660

Least Common Multiple (LCM) of 68748 and 68765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68748 and 68765. First we will calculate the prime factors of 68748 and 68765.

Prime Factorization of 68748

Prime Factorization of 68765

Now multiplying the highest exponent prime factors to calculate the LCM of 68748 and 68765.

LCM(68748,68765) = 2² × 3¹ × 17¹ × 337¹ × 5¹ × 809¹
LCM(68748,68765) = 278085660