What is the Least Common Multiple of 44702 and 44722?

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 44702 and 44722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44702 and 44722, than apply into the LCM equation.

GCF(44702,44722) = 2
LCM(44702,44722) = ( 44702 × 44722) / 2
LCM(44702,44722) = 1999162844 / 2
LCM(44702,44722) = 999581422

Least Common Multiple (LCM) of 44702 and 44722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44702 and 44722. First we will calculate the prime factors of 44702 and 44722.

Prime Factorization of 44702

Prime Factorization of 44722

Now multiplying the highest exponent prime factors to calculate the LCM of 44702 and 44722.

LCM(44702,44722) = 2¹ × 7¹ × 31¹ × 103¹ × 59¹ × 379¹
LCM(44702,44722) = 999581422