What is the Least Common Multiple of 86966 and 86980?

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 86980 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 86980, than apply into the LCM equation.

GCF(86966,86980) = 2
LCM(86966,86980) = ( 86966 × 86980) / 2
LCM(86966,86980) = 7564302680 / 2
LCM(86966,86980) = 3782151340

Least Common Multiple (LCM) of 86966 and 86980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86966 and 86980. First we will calculate the prime factors of 86966 and 86980.

Prime Factorization of 86966

Prime Factorization of 86980

Now multiplying the highest exponent prime factors to calculate the LCM of 86966 and 86980.

LCM(86966,86980) = 2² × 11¹ × 59¹ × 67¹ × 5¹ × 4349¹
LCM(86966,86980) = 3782151340