What is the Least Common Multiple of 63921 and 63941?

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 63921 and 63941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63921 and 63941, than apply into the LCM equation.

GCF(63921,63941) = 1
LCM(63921,63941) = ( 63921 × 63941) / 1
LCM(63921,63941) = 4087172661 / 1
LCM(63921,63941) = 4087172661

Least Common Multiple (LCM) of 63921 and 63941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63921 and 63941. First we will calculate the prime factors of 63921 and 63941.

Prime Factorization of 63921

Prime Factorization of 63941

Now multiplying the highest exponent prime factors to calculate the LCM of 63921 and 63941.

LCM(63921,63941) = 3¹ × 11¹ × 13¹ × 149¹ × 43¹ × 1487¹
LCM(63921,63941) = 4087172661