What is the Least Common Multiple of 22698 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 22698 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 22698 and 22715, than apply into the LCM equation.

GCF(22698,22715) = 1
LCM(22698,22715) = ( 22698 × 22715) / 1
LCM(22698,22715) = 515585070 / 1
LCM(22698,22715) = 515585070

Least Common Multiple (LCM) of 22698 and 22715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22698 and 22715. First we will calculate the prime factors of 22698 and 22715.

Prime Factorization of 22698

Prime Factorization of 22715

Now multiplying the highest exponent prime factors to calculate the LCM of 22698 and 22715.

LCM(22698,22715) = 2¹ × 3² × 13¹ × 97¹ × 5¹ × 7¹ × 11¹ × 59¹
LCM(22698,22715) = 515585070