What is the Least Common Multiple of 42465 and 42480?

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 42480 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 42480, than apply into the LCM equation.

GCF(42465,42480) = 15
LCM(42465,42480) = ( 42465 × 42480) / 15
LCM(42465,42480) = 1803913200 / 15
LCM(42465,42480) = 120260880

Least Common Multiple (LCM) of 42465 and 42480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42465 and 42480. First we will calculate the prime factors of 42465 and 42480.

Prime Factorization of 42465

Prime Factorization of 42480

Now multiplying the highest exponent prime factors to calculate the LCM of 42465 and 42480.

LCM(42465,42480) = 3² × 5¹ × 19¹ × 149¹ × 2⁴ × 59¹
LCM(42465,42480) = 120260880