What is the Least Common Multiple of 30660 and 30674?

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 30660 and 30674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30660 and 30674, than apply into the LCM equation.

GCF(30660,30674) = 14
LCM(30660,30674) = ( 30660 × 30674) / 14
LCM(30660,30674) = 940464840 / 14
LCM(30660,30674) = 67176060

Least Common Multiple (LCM) of 30660 and 30674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30660 and 30674. First we will calculate the prime factors of 30660 and 30674.

Prime Factorization of 30660

Prime Factorization of 30674

Now multiplying the highest exponent prime factors to calculate the LCM of 30660 and 30674.

LCM(30660,30674) = 2² × 3¹ × 5¹ × 7² × 73¹ × 313¹
LCM(30660,30674) = 67176060