What is the Least Common Multiple of 86970 and 86976?

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 86970 and 86976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86970 and 86976, than apply into the LCM equation.

GCF(86970,86976) = 6
LCM(86970,86976) = ( 86970 × 86976) / 6
LCM(86970,86976) = 7564302720 / 6
LCM(86970,86976) = 1260717120

Least Common Multiple (LCM) of 86970 and 86976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86970 and 86976. First we will calculate the prime factors of 86970 and 86976.

Prime Factorization of 86970

Prime Factorization of 86976

Now multiplying the highest exponent prime factors to calculate the LCM of 86970 and 86976.

LCM(86970,86976) = 2⁶ × 3² × 5¹ × 13¹ × 223¹ × 151¹
LCM(86970,86976) = 1260717120