What is the Least Common Multiple of 63978 and 63995?

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 63978 and 63995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63978 and 63995, than apply into the LCM equation.

GCF(63978,63995) = 1
LCM(63978,63995) = ( 63978 × 63995) / 1
LCM(63978,63995) = 4094272110 / 1
LCM(63978,63995) = 4094272110

Least Common Multiple (LCM) of 63978 and 63995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63978 and 63995. First we will calculate the prime factors of 63978 and 63995.

Prime Factorization of 63978

Prime Factorization of 63995

Now multiplying the highest exponent prime factors to calculate the LCM of 63978 and 63995.

LCM(63978,63995) = 2¹ × 3¹ × 10663¹ × 5¹ × 12799¹
LCM(63978,63995) = 4094272110