What is the Least Common Multiple of 30153 and 30172?

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 30153 and 30172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30153 and 30172, than apply into the LCM equation.

GCF(30153,30172) = 19
LCM(30153,30172) = ( 30153 × 30172) / 19
LCM(30153,30172) = 909776316 / 19
LCM(30153,30172) = 47882964

Least Common Multiple (LCM) of 30153 and 30172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30153 and 30172. First we will calculate the prime factors of 30153 and 30172.

Prime Factorization of 30153

Prime Factorization of 30172

Now multiplying the highest exponent prime factors to calculate the LCM of 30153 and 30172.

LCM(30153,30172) = 3¹ × 19¹ × 23² × 2² × 397¹
LCM(30153,30172) = 47882964