What is the Least Common Multiple of 81520 and 81538?

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 81520 and 81538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81520 and 81538, than apply into the LCM equation.

GCF(81520,81538) = 2
LCM(81520,81538) = ( 81520 × 81538) / 2
LCM(81520,81538) = 6646977760 / 2
LCM(81520,81538) = 3323488880

Least Common Multiple (LCM) of 81520 and 81538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81520 and 81538. First we will calculate the prime factors of 81520 and 81538.

Prime Factorization of 81520

Prime Factorization of 81538

Now multiplying the highest exponent prime factors to calculate the LCM of 81520 and 81538.

LCM(81520,81538) = 2⁴ × 5¹ × 1019¹ × 59¹ × 691¹
LCM(81520,81538) = 3323488880