What is the Least Common Multiple of 66965 and 66972?

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 66965 and 66972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66965 and 66972, than apply into the LCM equation.

GCF(66965,66972) = 1
LCM(66965,66972) = ( 66965 × 66972) / 1
LCM(66965,66972) = 4484779980 / 1
LCM(66965,66972) = 4484779980

Least Common Multiple (LCM) of 66965 and 66972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66965 and 66972. First we will calculate the prime factors of 66965 and 66972.

Prime Factorization of 66965

Prime Factorization of 66972

Now multiplying the highest exponent prime factors to calculate the LCM of 66965 and 66972.

LCM(66965,66972) = 5¹ × 59¹ × 227¹ × 2² × 3¹ × 5581¹
LCM(66965,66972) = 4484779980