What is the Least Common Multiple of 67520 and 67538?

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 67520 and 67538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67520 and 67538, than apply into the LCM equation.

GCF(67520,67538) = 2
LCM(67520,67538) = ( 67520 × 67538) / 2
LCM(67520,67538) = 4560165760 / 2
LCM(67520,67538) = 2280082880

Least Common Multiple (LCM) of 67520 and 67538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67520 and 67538. First we will calculate the prime factors of 67520 and 67538.

Prime Factorization of 67520

Prime Factorization of 67538

Now multiplying the highest exponent prime factors to calculate the LCM of 67520 and 67538.

LCM(67520,67538) = 2⁶ × 5¹ × 211¹ × 33769¹
LCM(67520,67538) = 2280082880