What is the Least Common Multiple of 63074 and 63080?

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 63074 and 63080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63074 and 63080, than apply into the LCM equation.

GCF(63074,63080) = 2
LCM(63074,63080) = ( 63074 × 63080) / 2
LCM(63074,63080) = 3978707920 / 2
LCM(63074,63080) = 1989353960

Least Common Multiple (LCM) of 63074 and 63080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63074 and 63080. First we will calculate the prime factors of 63074 and 63080.

Prime Factorization of 63074

Prime Factorization of 63080

Now multiplying the highest exponent prime factors to calculate the LCM of 63074 and 63080.

LCM(63074,63080) = 2³ × 11¹ × 47¹ × 61¹ × 5¹ × 19¹ × 83¹
LCM(63074,63080) = 1989353960