What is the Least Common Multiple of 61821 and 61830?

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 61821 and 61830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61821 and 61830, than apply into the LCM equation.

GCF(61821,61830) = 9
LCM(61821,61830) = ( 61821 × 61830) / 9
LCM(61821,61830) = 3822392430 / 9
LCM(61821,61830) = 424710270

Least Common Multiple (LCM) of 61821 and 61830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61821 and 61830. First we will calculate the prime factors of 61821 and 61830.

Prime Factorization of 61821

Prime Factorization of 61830

Now multiplying the highest exponent prime factors to calculate the LCM of 61821 and 61830.

LCM(61821,61830) = 3³ × 6869¹ × 2¹ × 5¹ × 229¹
LCM(61821,61830) = 424710270