What is the Least Common Multiple of 73452 and 73461?

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 73452 and 73461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73452 and 73461, than apply into the LCM equation.

GCF(73452,73461) = 3
LCM(73452,73461) = ( 73452 × 73461) / 3
LCM(73452,73461) = 5395857372 / 3
LCM(73452,73461) = 1798619124

Least Common Multiple (LCM) of 73452 and 73461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73452 and 73461. First we will calculate the prime factors of 73452 and 73461.

Prime Factorization of 73452

Prime Factorization of 73461

Now multiplying the highest exponent prime factors to calculate the LCM of 73452 and 73461.

LCM(73452,73461) = 2² × 3¹ × 6121¹ × 47¹ × 521¹
LCM(73452,73461) = 1798619124