What is the Least Common Multiple of 30180 and 30198?

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 30180 and 30198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30180 and 30198, than apply into the LCM equation.

GCF(30180,30198) = 6
LCM(30180,30198) = ( 30180 × 30198) / 6
LCM(30180,30198) = 911375640 / 6
LCM(30180,30198) = 151895940

Least Common Multiple (LCM) of 30180 and 30198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30180 and 30198. First we will calculate the prime factors of 30180 and 30198.

Prime Factorization of 30180

Prime Factorization of 30198

Now multiplying the highest exponent prime factors to calculate the LCM of 30180 and 30198.

LCM(30180,30198) = 2² × 3¹ × 5¹ × 503¹ × 7¹ × 719¹
LCM(30180,30198) = 151895940