What is the Least Common Multiple of 91649 and 91666?

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 91649 and 91666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91649 and 91666, than apply into the LCM equation.

GCF(91649,91666) = 1
LCM(91649,91666) = ( 91649 × 91666) / 1
LCM(91649,91666) = 8401097234 / 1
LCM(91649,91666) = 8401097234

Least Common Multiple (LCM) of 91649 and 91666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91649 and 91666. First we will calculate the prime factors of 91649 and 91666.

Prime Factorization of 91649

Prime Factorization of 91666

Now multiplying the highest exponent prime factors to calculate the LCM of 91649 and 91666.

LCM(91649,91666) = 37¹ × 2477¹ × 2¹ × 45833¹
LCM(91649,91666) = 8401097234