What is the Least Common Multiple of 42108 and 42119?

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 42108 and 42119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42108 and 42119, than apply into the LCM equation.

GCF(42108,42119) = 11
LCM(42108,42119) = ( 42108 × 42119) / 11
LCM(42108,42119) = 1773546852 / 11
LCM(42108,42119) = 161231532

Least Common Multiple (LCM) of 42108 and 42119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42108 and 42119. First we will calculate the prime factors of 42108 and 42119.

Prime Factorization of 42108

Prime Factorization of 42119

Now multiplying the highest exponent prime factors to calculate the LCM of 42108 and 42119.

LCM(42108,42119) = 2² × 3¹ × 11² × 29¹ × 7¹ × 547¹
LCM(42108,42119) = 161231532