What is the Least Common Multiple of 73430 and 73435?

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 73430 and 73435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73430 and 73435, than apply into the LCM equation.

GCF(73430,73435) = 5
LCM(73430,73435) = ( 73430 × 73435) / 5
LCM(73430,73435) = 5392332050 / 5
LCM(73430,73435) = 1078466410

Least Common Multiple (LCM) of 73430 and 73435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73430 and 73435. First we will calculate the prime factors of 73430 and 73435.

Prime Factorization of 73430

Prime Factorization of 73435

Now multiplying the highest exponent prime factors to calculate the LCM of 73430 and 73435.

LCM(73430,73435) = 2¹ × 5¹ × 7¹ × 1049¹ × 19¹ × 773¹
LCM(73430,73435) = 1078466410