What is the Least Common Multiple of 45330 and 45350?

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 45330 and 45350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45330 and 45350, than apply into the LCM equation.

GCF(45330,45350) = 10
LCM(45330,45350) = ( 45330 × 45350) / 10
LCM(45330,45350) = 2055715500 / 10
LCM(45330,45350) = 205571550

Least Common Multiple (LCM) of 45330 and 45350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45330 and 45350. First we will calculate the prime factors of 45330 and 45350.

Prime Factorization of 45330

Prime Factorization of 45350

Now multiplying the highest exponent prime factors to calculate the LCM of 45330 and 45350.

LCM(45330,45350) = 2¹ × 3¹ × 5² × 1511¹ × 907¹
LCM(45330,45350) = 205571550