What is the Least Common Multiple of 63661 and 63674?

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 63661 and 63674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63661 and 63674, than apply into the LCM equation.

GCF(63661,63674) = 13
LCM(63661,63674) = ( 63661 × 63674) / 13
LCM(63661,63674) = 4053550514 / 13
LCM(63661,63674) = 311811578

Least Common Multiple (LCM) of 63661 and 63674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63661 and 63674. First we will calculate the prime factors of 63661 and 63674.

Prime Factorization of 63661

Prime Factorization of 63674

Now multiplying the highest exponent prime factors to calculate the LCM of 63661 and 63674.

LCM(63661,63674) = 13¹ × 59¹ × 83¹ × 2¹ × 31¹ × 79¹
LCM(63661,63674) = 311811578