What is the Least Common Multiple of 45969 and 45983?

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 45969 and 45983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45969 and 45983, than apply into the LCM equation.

GCF(45969,45983) = 7
LCM(45969,45983) = ( 45969 × 45983) / 7
LCM(45969,45983) = 2113792527 / 7
LCM(45969,45983) = 301970361

Least Common Multiple (LCM) of 45969 and 45983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45969 and 45983. First we will calculate the prime factors of 45969 and 45983.

Prime Factorization of 45969

Prime Factorization of 45983

Now multiplying the highest exponent prime factors to calculate the LCM of 45969 and 45983.

LCM(45969,45983) = 3¹ × 7¹ × 11¹ × 199¹ × 6569¹
LCM(45969,45983) = 301970361