What is the Least Common Multiple of 22696 and 22715?

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 22696 and 22715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22696 and 22715, than apply into the LCM equation.

GCF(22696,22715) = 1
LCM(22696,22715) = ( 22696 × 22715) / 1
LCM(22696,22715) = 515539640 / 1
LCM(22696,22715) = 515539640

Least Common Multiple (LCM) of 22696 and 22715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22696 and 22715. First we will calculate the prime factors of 22696 and 22715.

Prime Factorization of 22696

Prime Factorization of 22715

Now multiplying the highest exponent prime factors to calculate the LCM of 22696 and 22715.

LCM(22696,22715) = 2³ × 2837¹ × 5¹ × 7¹ × 11¹ × 59¹
LCM(22696,22715) = 515539640