What is the Least Common Multiple of 63930 and 63946?

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 63930 and 63946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63930 and 63946, than apply into the LCM equation.

GCF(63930,63946) = 2
LCM(63930,63946) = ( 63930 × 63946) / 2
LCM(63930,63946) = 4088067780 / 2
LCM(63930,63946) = 2044033890

Least Common Multiple (LCM) of 63930 and 63946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63930 and 63946. First we will calculate the prime factors of 63930 and 63946.

Prime Factorization of 63930

Prime Factorization of 63946

Now multiplying the highest exponent prime factors to calculate the LCM of 63930 and 63946.

LCM(63930,63946) = 2¹ × 3¹ × 5¹ × 2131¹ × 31973¹
LCM(63930,63946) = 2044033890