What is the Least Common Multiple of 66749 and 66761?

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 66761 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 66761, than apply into the LCM equation.

GCF(66749,66761) = 1
LCM(66749,66761) = ( 66749 × 66761) / 1
LCM(66749,66761) = 4456229989 / 1
LCM(66749,66761) = 4456229989

Least Common Multiple (LCM) of 66749 and 66761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66749 and 66761. First we will calculate the prime factors of 66749 and 66761.

Prime Factorization of 66749

Prime Factorization of 66761

Now multiplying the highest exponent prime factors to calculate the LCM of 66749 and 66761.

LCM(66749,66761) = 66749¹ × 101¹ × 661¹
LCM(66749,66761) = 4456229989