What is the Least Common Multiple of 45765 and 45780?

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 45765 and 45780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45765 and 45780, than apply into the LCM equation.

GCF(45765,45780) = 15
LCM(45765,45780) = ( 45765 × 45780) / 15
LCM(45765,45780) = 2095121700 / 15
LCM(45765,45780) = 139674780

Least Common Multiple (LCM) of 45765 and 45780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45765 and 45780. First we will calculate the prime factors of 45765 and 45780.

Prime Factorization of 45765

Prime Factorization of 45780

Now multiplying the highest exponent prime factors to calculate the LCM of 45765 and 45780.

LCM(45765,45780) = 3⁴ × 5¹ × 113¹ × 2² × 7¹ × 109¹
LCM(45765,45780) = 139674780