What is the Least Common Multiple of 42510 and 42525?

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 42510 and 42525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42510 and 42525, than apply into the LCM equation.

GCF(42510,42525) = 15
LCM(42510,42525) = ( 42510 × 42525) / 15
LCM(42510,42525) = 1807737750 / 15
LCM(42510,42525) = 120515850

Least Common Multiple (LCM) of 42510 and 42525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42510 and 42525. First we will calculate the prime factors of 42510 and 42525.

Prime Factorization of 42510

Prime Factorization of 42525

Now multiplying the highest exponent prime factors to calculate the LCM of 42510 and 42525.

LCM(42510,42525) = 2¹ × 3⁵ × 5² × 13¹ × 109¹ × 7¹
LCM(42510,42525) = 120515850