What is the Least Common Multiple of 59679 and 59691?

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 59679 and 59691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59679 and 59691, than apply into the LCM equation.

GCF(59679,59691) = 3
LCM(59679,59691) = ( 59679 × 59691) / 3
LCM(59679,59691) = 3562299189 / 3
LCM(59679,59691) = 1187433063

Least Common Multiple (LCM) of 59679 and 59691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59679 and 59691. First we will calculate the prime factors of 59679 and 59691.

Prime Factorization of 59679

Prime Factorization of 59691

Now multiplying the highest exponent prime factors to calculate the LCM of 59679 and 59691.

LCM(59679,59691) = 3² × 19¹ × 349¹ × 101¹ × 197¹
LCM(59679,59691) = 1187433063