What is the Least Common Multiple of 3698 and 3715?

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 3698 and 3715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3698 and 3715, than apply into the LCM equation.

GCF(3698,3715) = 1
LCM(3698,3715) = ( 3698 × 3715) / 1
LCM(3698,3715) = 13738070 / 1
LCM(3698,3715) = 13738070

Least Common Multiple (LCM) of 3698 and 3715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3698 and 3715. First we will calculate the prime factors of 3698 and 3715.

Prime Factorization of 3698

Prime Factorization of 3715

Now multiplying the highest exponent prime factors to calculate the LCM of 3698 and 3715.

LCM(3698,3715) = 2¹ × 43² × 5¹ × 743¹
LCM(3698,3715) = 13738070