What is the Least Common Multiple of 63949 and 63965?

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 63949 and 63965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63949 and 63965, than apply into the LCM equation.

GCF(63949,63965) = 1
LCM(63949,63965) = ( 63949 × 63965) / 1
LCM(63949,63965) = 4090497785 / 1
LCM(63949,63965) = 4090497785

Least Common Multiple (LCM) of 63949 and 63965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63949 and 63965. First we will calculate the prime factors of 63949 and 63965.

Prime Factorization of 63949

Prime Factorization of 63965

Now multiplying the highest exponent prime factors to calculate the LCM of 63949 and 63965.

LCM(63949,63965) = 63949¹ × 5¹ × 11¹ × 1163¹
LCM(63949,63965) = 4090497785