What is the Least Common Multiple of 63643 and 63652?

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 63643 and 63652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63643 and 63652, than apply into the LCM equation.

GCF(63643,63652) = 1
LCM(63643,63652) = ( 63643 × 63652) / 1
LCM(63643,63652) = 4051004236 / 1
LCM(63643,63652) = 4051004236

Least Common Multiple (LCM) of 63643 and 63652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63643 and 63652. First we will calculate the prime factors of 63643 and 63652.

Prime Factorization of 63643

Prime Factorization of 63652

Now multiplying the highest exponent prime factors to calculate the LCM of 63643 and 63652.

LCM(63643,63652) = 31¹ × 2053¹ × 2² × 15913¹
LCM(63643,63652) = 4051004236