What is the Least Common Multiple of 63970 and 63982?

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 63970 and 63982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63970 and 63982, than apply into the LCM equation.

GCF(63970,63982) = 2
LCM(63970,63982) = ( 63970 × 63982) / 2
LCM(63970,63982) = 4092928540 / 2
LCM(63970,63982) = 2046464270

Least Common Multiple (LCM) of 63970 and 63982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63970 and 63982. First we will calculate the prime factors of 63970 and 63982.

Prime Factorization of 63970

Prime Factorization of 63982

Now multiplying the highest exponent prime factors to calculate the LCM of 63970 and 63982.

LCM(63970,63982) = 2¹ × 5¹ × 6397¹ × 31991¹
LCM(63970,63982) = 2046464270