What is the Least Common Multiple of 66154 and 66172?

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 66154 and 66172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66154 and 66172, than apply into the LCM equation.

GCF(66154,66172) = 2
LCM(66154,66172) = ( 66154 × 66172) / 2
LCM(66154,66172) = 4377542488 / 2
LCM(66154,66172) = 2188771244

Least Common Multiple (LCM) of 66154 and 66172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66154 and 66172. First we will calculate the prime factors of 66154 and 66172.

Prime Factorization of 66154

Prime Factorization of 66172

Now multiplying the highest exponent prime factors to calculate the LCM of 66154 and 66172.

LCM(66154,66172) = 2² × 11¹ × 31¹ × 97¹ × 71¹ × 233¹
LCM(66154,66172) = 2188771244