What is the Least Common Multiple of 67836 and 67840?

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 67836 and 67840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67836 and 67840, than apply into the LCM equation.

GCF(67836,67840) = 4
LCM(67836,67840) = ( 67836 × 67840) / 4
LCM(67836,67840) = 4601994240 / 4
LCM(67836,67840) = 1150498560

Least Common Multiple (LCM) of 67836 and 67840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67836 and 67840. First we will calculate the prime factors of 67836 and 67840.

Prime Factorization of 67836

Prime Factorization of 67840

Now multiplying the highest exponent prime factors to calculate the LCM of 67836 and 67840.

LCM(67836,67840) = 2⁸ × 3¹ × 5653¹ × 5¹ × 53¹
LCM(67836,67840) = 1150498560