What is the Least Common Multiple of 15674 and 15690?

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 15674 and 15690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15674 and 15690, than apply into the LCM equation.

GCF(15674,15690) = 2
LCM(15674,15690) = ( 15674 × 15690) / 2
LCM(15674,15690) = 245925060 / 2
LCM(15674,15690) = 122962530

Least Common Multiple (LCM) of 15674 and 15690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15674 and 15690. First we will calculate the prime factors of 15674 and 15690.

Prime Factorization of 15674

Prime Factorization of 15690

Now multiplying the highest exponent prime factors to calculate the LCM of 15674 and 15690.

LCM(15674,15690) = 2¹ × 17¹ × 461¹ × 3¹ × 5¹ × 523¹
LCM(15674,15690) = 122962530