What is the Least Common Multiple of 89646 and 89661?

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 89646 and 89661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89646 and 89661, than apply into the LCM equation.

GCF(89646,89661) = 3
LCM(89646,89661) = ( 89646 × 89661) / 3
LCM(89646,89661) = 8037750006 / 3
LCM(89646,89661) = 2679250002

Least Common Multiple (LCM) of 89646 and 89661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89646 and 89661. First we will calculate the prime factors of 89646 and 89661.

Prime Factorization of 89646

Prime Factorization of 89661

Now multiplying the highest exponent prime factors to calculate the LCM of 89646 and 89661.

LCM(89646,89661) = 2¹ × 3¹ × 67¹ × 223¹ × 11² × 13¹ × 19¹
LCM(89646,89661) = 2679250002