What is the Least Common Multiple of 63952 and 63970?

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 63952 and 63970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63952 and 63970, than apply into the LCM equation.

GCF(63952,63970) = 2
LCM(63952,63970) = ( 63952 × 63970) / 2
LCM(63952,63970) = 4091009440 / 2
LCM(63952,63970) = 2045504720

Least Common Multiple (LCM) of 63952 and 63970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63952 and 63970. First we will calculate the prime factors of 63952 and 63970.

Prime Factorization of 63952

Prime Factorization of 63970

Now multiplying the highest exponent prime factors to calculate the LCM of 63952 and 63970.

LCM(63952,63970) = 2⁴ × 7¹ × 571¹ × 5¹ × 6397¹
LCM(63952,63970) = 2045504720