What is the Least Common Multiple of 73460 and 73465?

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 73460 and 73465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73460 and 73465, than apply into the LCM equation.

GCF(73460,73465) = 5
LCM(73460,73465) = ( 73460 × 73465) / 5
LCM(73460,73465) = 5396738900 / 5
LCM(73460,73465) = 1079347780

Least Common Multiple (LCM) of 73460 and 73465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73460 and 73465. First we will calculate the prime factors of 73460 and 73465.

Prime Factorization of 73460

Prime Factorization of 73465

Now multiplying the highest exponent prime factors to calculate the LCM of 73460 and 73465.

LCM(73460,73465) = 2² × 5¹ × 3673¹ × 7¹ × 2099¹
LCM(73460,73465) = 1079347780