What is the Least Common Multiple of 66961 and 66971?

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 66961 and 66971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66961 and 66971, than apply into the LCM equation.

GCF(66961,66971) = 1
LCM(66961,66971) = ( 66961 × 66971) / 1
LCM(66961,66971) = 4484445131 / 1
LCM(66961,66971) = 4484445131

Least Common Multiple (LCM) of 66961 and 66971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66961 and 66971. First we will calculate the prime factors of 66961 and 66971.

Prime Factorization of 66961

Prime Factorization of 66971

Now multiplying the highest exponent prime factors to calculate the LCM of 66961 and 66971.

LCM(66961,66971) = 29¹ × 2309¹ × 193¹ × 347¹
LCM(66961,66971) = 4484445131