What is the Least Common Multiple of 71460 and 71478?

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 71460 and 71478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71460 and 71478, than apply into the LCM equation.

GCF(71460,71478) = 18
LCM(71460,71478) = ( 71460 × 71478) / 18
LCM(71460,71478) = 5107817880 / 18
LCM(71460,71478) = 283767660

Least Common Multiple (LCM) of 71460 and 71478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71460 and 71478. First we will calculate the prime factors of 71460 and 71478.

Prime Factorization of 71460

Prime Factorization of 71478

Now multiplying the highest exponent prime factors to calculate the LCM of 71460 and 71478.

LCM(71460,71478) = 2² × 3² × 5¹ × 397¹ × 11¹ × 19²
LCM(71460,71478) = 283767660