What is the Least Common Multiple of 89666 and 89670?

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 89666 and 89670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89666 and 89670, than apply into the LCM equation.

GCF(89666,89670) = 2
LCM(89666,89670) = ( 89666 × 89670) / 2
LCM(89666,89670) = 8040350220 / 2
LCM(89666,89670) = 4020175110

Least Common Multiple (LCM) of 89666 and 89670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89666 and 89670. First we will calculate the prime factors of 89666 and 89670.

Prime Factorization of 89666

Prime Factorization of 89670

Now multiplying the highest exponent prime factors to calculate the LCM of 89666 and 89670.

LCM(89666,89670) = 2¹ × 107¹ × 419¹ × 3¹ × 5¹ × 7² × 61¹
LCM(89666,89670) = 4020175110