What is the Least Common Multiple of 45534 and 45548?

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 45534 and 45548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45534 and 45548, than apply into the LCM equation.

GCF(45534,45548) = 2
LCM(45534,45548) = ( 45534 × 45548) / 2
LCM(45534,45548) = 2073982632 / 2
LCM(45534,45548) = 1036991316

Least Common Multiple (LCM) of 45534 and 45548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45534 and 45548. First we will calculate the prime factors of 45534 and 45548.

Prime Factorization of 45534

Prime Factorization of 45548

Now multiplying the highest exponent prime factors to calculate the LCM of 45534 and 45548.

LCM(45534,45548) = 2² × 3¹ × 7589¹ × 59¹ × 193¹
LCM(45534,45548) = 1036991316