What is the Least Common Multiple of 89702 and 89722?

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 89702 and 89722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89702 and 89722, than apply into the LCM equation.

GCF(89702,89722) = 2
LCM(89702,89722) = ( 89702 × 89722) / 2
LCM(89702,89722) = 8048242844 / 2
LCM(89702,89722) = 4024121422

Least Common Multiple (LCM) of 89702 and 89722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89702 and 89722. First we will calculate the prime factors of 89702 and 89722.

Prime Factorization of 89702

Prime Factorization of 89722

Now multiplying the highest exponent prime factors to calculate the LCM of 89702 and 89722.

LCM(89702,89722) = 2¹ × 44851¹ × 113¹ × 397¹
LCM(89702,89722) = 4024121422