What is the Least Common Multiple of 61836 and 61840?

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 61836 and 61840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61836 and 61840, than apply into the LCM equation.

GCF(61836,61840) = 4
LCM(61836,61840) = ( 61836 × 61840) / 4
LCM(61836,61840) = 3823938240 / 4
LCM(61836,61840) = 955984560

Least Common Multiple (LCM) of 61836 and 61840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61836 and 61840. First we will calculate the prime factors of 61836 and 61840.

Prime Factorization of 61836

Prime Factorization of 61840

Now multiplying the highest exponent prime factors to calculate the LCM of 61836 and 61840.

LCM(61836,61840) = 2⁴ × 3¹ × 5153¹ × 5¹ × 773¹
LCM(61836,61840) = 955984560