What is the Least Common Multiple of 87024 and 87042?

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 87024 and 87042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87024 and 87042, than apply into the LCM equation.

GCF(87024,87042) = 6
LCM(87024,87042) = ( 87024 × 87042) / 6
LCM(87024,87042) = 7574743008 / 6
LCM(87024,87042) = 1262457168

Least Common Multiple (LCM) of 87024 and 87042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87024 and 87042. First we will calculate the prime factors of 87024 and 87042.

Prime Factorization of 87024

Prime Factorization of 87042

Now multiplying the highest exponent prime factors to calculate the LCM of 87024 and 87042.

LCM(87024,87042) = 2⁴ × 3¹ × 7² × 37¹ × 89¹ × 163¹
LCM(87024,87042) = 1262457168