What is the Least Common Multiple of 45669 and 45678?

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 45669 and 45678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45669 and 45678, than apply into the LCM equation.

GCF(45669,45678) = 3
LCM(45669,45678) = ( 45669 × 45678) / 3
LCM(45669,45678) = 2086068582 / 3
LCM(45669,45678) = 695356194

Least Common Multiple (LCM) of 45669 and 45678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45669 and 45678. First we will calculate the prime factors of 45669 and 45678.

Prime Factorization of 45669

Prime Factorization of 45678

Now multiplying the highest exponent prime factors to calculate the LCM of 45669 and 45678.

LCM(45669,45678) = 3¹ × 13¹ × 1171¹ × 2¹ × 23¹ × 331¹
LCM(45669,45678) = 695356194