What is the Least Common Multiple of 66749 and 66769?

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 66749 and 66769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66749 and 66769, than apply into the LCM equation.

GCF(66749,66769) = 1
LCM(66749,66769) = ( 66749 × 66769) / 1
LCM(66749,66769) = 4456763981 / 1
LCM(66749,66769) = 4456763981

Least Common Multiple (LCM) of 66749 and 66769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66749 and 66769. First we will calculate the prime factors of 66749 and 66769.

Prime Factorization of 66749

Prime Factorization of 66769

Now multiplying the highest exponent prime factors to calculate the LCM of 66749 and 66769.

LCM(66749,66769) = 66749¹ × 23¹ × 2903¹
LCM(66749,66769) = 4456763981