What is the Least Common Multiple of 73570 and 73585?

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 73570 and 73585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73570 and 73585, than apply into the LCM equation.

GCF(73570,73585) = 5
LCM(73570,73585) = ( 73570 × 73585) / 5
LCM(73570,73585) = 5413648450 / 5
LCM(73570,73585) = 1082729690

Least Common Multiple (LCM) of 73570 and 73585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73570 and 73585. First we will calculate the prime factors of 73570 and 73585.

Prime Factorization of 73570

Prime Factorization of 73585

Now multiplying the highest exponent prime factors to calculate the LCM of 73570 and 73585.

LCM(73570,73585) = 2¹ × 5¹ × 7¹ × 1051¹ × 14717¹
LCM(73570,73585) = 1082729690