What is the Least Common Multiple of 67840 and 67852?

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 67840 and 67852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67840 and 67852, than apply into the LCM equation.

GCF(67840,67852) = 4
LCM(67840,67852) = ( 67840 × 67852) / 4
LCM(67840,67852) = 4603079680 / 4
LCM(67840,67852) = 1150769920

Least Common Multiple (LCM) of 67840 and 67852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67840 and 67852. First we will calculate the prime factors of 67840 and 67852.

Prime Factorization of 67840

Prime Factorization of 67852

Now multiplying the highest exponent prime factors to calculate the LCM of 67840 and 67852.

LCM(67840,67852) = 2⁸ × 5¹ × 53¹ × 16963¹
LCM(67840,67852) = 1150769920