What is the Least Common Multiple of 63150 and 63170?

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 63150 and 63170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63150 and 63170, than apply into the LCM equation.

GCF(63150,63170) = 10
LCM(63150,63170) = ( 63150 × 63170) / 10
LCM(63150,63170) = 3989185500 / 10
LCM(63150,63170) = 398918550

Least Common Multiple (LCM) of 63150 and 63170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63150 and 63170. First we will calculate the prime factors of 63150 and 63170.

Prime Factorization of 63150

Prime Factorization of 63170

Now multiplying the highest exponent prime factors to calculate the LCM of 63150 and 63170.

LCM(63150,63170) = 2¹ × 3¹ × 5² × 421¹ × 6317¹
LCM(63150,63170) = 398918550