What is the Least Common Multiple of 86730 and 86748?

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 86730 and 86748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86730 and 86748, than apply into the LCM equation.

GCF(86730,86748) = 6
LCM(86730,86748) = ( 86730 × 86748) / 6
LCM(86730,86748) = 7523654040 / 6
LCM(86730,86748) = 1253942340

Least Common Multiple (LCM) of 86730 and 86748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86730 and 86748. First we will calculate the prime factors of 86730 and 86748.

Prime Factorization of 86730

Prime Factorization of 86748

Now multiplying the highest exponent prime factors to calculate the LCM of 86730 and 86748.

LCM(86730,86748) = 2² × 3¹ × 5¹ × 7² × 59¹ × 7229¹
LCM(86730,86748) = 1253942340