What is the Least Common Multiple of 61020 and 61033?

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 61020 and 61033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61020 and 61033, than apply into the LCM equation.

GCF(61020,61033) = 1
LCM(61020,61033) = ( 61020 × 61033) / 1
LCM(61020,61033) = 3724233660 / 1
LCM(61020,61033) = 3724233660

Least Common Multiple (LCM) of 61020 and 61033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61020 and 61033. First we will calculate the prime factors of 61020 and 61033.

Prime Factorization of 61020

Prime Factorization of 61033

Now multiplying the highest exponent prime factors to calculate the LCM of 61020 and 61033.

LCM(61020,61033) = 2² × 3³ × 5¹ × 113¹ × 7¹ × 8719¹
LCM(61020,61033) = 3724233660