What is the Least Common Multiple of 42480 and 42495?

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 42480 and 42495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42480 and 42495, than apply into the LCM equation.

GCF(42480,42495) = 15
LCM(42480,42495) = ( 42480 × 42495) / 15
LCM(42480,42495) = 1805187600 / 15
LCM(42480,42495) = 120345840

Least Common Multiple (LCM) of 42480 and 42495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42480 and 42495. First we will calculate the prime factors of 42480 and 42495.

Prime Factorization of 42480

Prime Factorization of 42495

Now multiplying the highest exponent prime factors to calculate the LCM of 42480 and 42495.

LCM(42480,42495) = 2⁴ × 3² × 5¹ × 59¹ × 2833¹
LCM(42480,42495) = 120345840