What is the Least Common Multiple of 63980 and 63994?

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 63980 and 63994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63980 and 63994, than apply into the LCM equation.

GCF(63980,63994) = 14
LCM(63980,63994) = ( 63980 × 63994) / 14
LCM(63980,63994) = 4094336120 / 14
LCM(63980,63994) = 292452580

Least Common Multiple (LCM) of 63980 and 63994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63980 and 63994. First we will calculate the prime factors of 63980 and 63994.

Prime Factorization of 63980

Prime Factorization of 63994

Now multiplying the highest exponent prime factors to calculate the LCM of 63980 and 63994.

LCM(63980,63994) = 2² × 5¹ × 7² × 457¹ × 653¹
LCM(63980,63994) = 292452580