What is the Least Common Multiple of 42072 and 42090?

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 42072 and 42090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42072 and 42090, than apply into the LCM equation.

GCF(42072,42090) = 6
LCM(42072,42090) = ( 42072 × 42090) / 6
LCM(42072,42090) = 1770810480 / 6
LCM(42072,42090) = 295135080

Least Common Multiple (LCM) of 42072 and 42090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42072 and 42090. First we will calculate the prime factors of 42072 and 42090.

Prime Factorization of 42072

Prime Factorization of 42090

Now multiplying the highest exponent prime factors to calculate the LCM of 42072 and 42090.

LCM(42072,42090) = 2³ × 3¹ × 1753¹ × 5¹ × 23¹ × 61¹
LCM(42072,42090) = 295135080