What is the Least Common Multiple of 42465 and 42475?

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 42465 and 42475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42465 and 42475, than apply into the LCM equation.

GCF(42465,42475) = 5
LCM(42465,42475) = ( 42465 × 42475) / 5
LCM(42465,42475) = 1803700875 / 5
LCM(42465,42475) = 360740175

Least Common Multiple (LCM) of 42465 and 42475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42465 and 42475. First we will calculate the prime factors of 42465 and 42475.

Prime Factorization of 42465

Prime Factorization of 42475

Now multiplying the highest exponent prime factors to calculate the LCM of 42465 and 42475.

LCM(42465,42475) = 3¹ × 5² × 19¹ × 149¹ × 1699¹
LCM(42465,42475) = 360740175