What is the Least Common Multiple of 63480 and 63494?

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 63480 and 63494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63480 and 63494, than apply into the LCM equation.

GCF(63480,63494) = 2
LCM(63480,63494) = ( 63480 × 63494) / 2
LCM(63480,63494) = 4030599120 / 2
LCM(63480,63494) = 2015299560

Least Common Multiple (LCM) of 63480 and 63494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63480 and 63494. First we will calculate the prime factors of 63480 and 63494.

Prime Factorization of 63480

Prime Factorization of 63494

Now multiplying the highest exponent prime factors to calculate the LCM of 63480 and 63494.

LCM(63480,63494) = 2³ × 3¹ × 5¹ × 23² × 53¹ × 599¹
LCM(63480,63494) = 2015299560