What is the Least Common Multiple of 63952 and 63959?

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 63959 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 63959, than apply into the LCM equation.

GCF(63952,63959) = 7
LCM(63952,63959) = ( 63952 × 63959) / 7
LCM(63952,63959) = 4090305968 / 7
LCM(63952,63959) = 584329424

Least Common Multiple (LCM) of 63952 and 63959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63952 and 63959. First we will calculate the prime factors of 63952 and 63959.

Prime Factorization of 63952

Prime Factorization of 63959

Now multiplying the highest exponent prime factors to calculate the LCM of 63952 and 63959.

LCM(63952,63959) = 2⁴ × 7¹ × 571¹ × 9137¹
LCM(63952,63959) = 584329424