What is the Least Common Multiple of 40545 and 40565?

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 40545 and 40565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40545 and 40565, than apply into the LCM equation.

GCF(40545,40565) = 5
LCM(40545,40565) = ( 40545 × 40565) / 5
LCM(40545,40565) = 1644707925 / 5
LCM(40545,40565) = 328941585

Least Common Multiple (LCM) of 40545 and 40565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40545 and 40565. First we will calculate the prime factors of 40545 and 40565.

Prime Factorization of 40545

Prime Factorization of 40565

Now multiplying the highest exponent prime factors to calculate the LCM of 40545 and 40565.

LCM(40545,40565) = 3² × 5¹ × 17¹ × 53¹ × 7¹ × 19¹ × 61¹
LCM(40545,40565) = 328941585