What is the Least Common Multiple of 86966 and 86978?

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 86966 and 86978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86966 and 86978, than apply into the LCM equation.

GCF(86966,86978) = 2
LCM(86966,86978) = ( 86966 × 86978) / 2
LCM(86966,86978) = 7564128748 / 2
LCM(86966,86978) = 3782064374

Least Common Multiple (LCM) of 86966 and 86978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86966 and 86978. First we will calculate the prime factors of 86966 and 86978.

Prime Factorization of 86966

Prime Factorization of 86978

Now multiplying the highest exponent prime factors to calculate the LCM of 86966 and 86978.

LCM(86966,86978) = 2¹ × 11¹ × 59¹ × 67¹ × 157¹ × 277¹
LCM(86966,86978) = 3782064374