What is the Least Common Multiple of 63940 and 63954?

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 63940 and 63954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63940 and 63954, than apply into the LCM equation.

GCF(63940,63954) = 2
LCM(63940,63954) = ( 63940 × 63954) / 2
LCM(63940,63954) = 4089218760 / 2
LCM(63940,63954) = 2044609380

Least Common Multiple (LCM) of 63940 and 63954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63940 and 63954. First we will calculate the prime factors of 63940 and 63954.

Prime Factorization of 63940

Prime Factorization of 63954

Now multiplying the highest exponent prime factors to calculate the LCM of 63940 and 63954.

LCM(63940,63954) = 2² × 5¹ × 23¹ × 139¹ × 3² × 11¹ × 17¹ × 19¹
LCM(63940,63954) = 2044609380