What is the Least Common Multiple of 61203 and 61219?

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 61203 and 61219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61203 and 61219, than apply into the LCM equation.

GCF(61203,61219) = 1
LCM(61203,61219) = ( 61203 × 61219) / 1
LCM(61203,61219) = 3746786457 / 1
LCM(61203,61219) = 3746786457

Least Common Multiple (LCM) of 61203 and 61219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61203 and 61219. First we will calculate the prime factors of 61203 and 61219.

Prime Factorization of 61203

Prime Factorization of 61219

Now multiplying the highest exponent prime factors to calculate the LCM of 61203 and 61219.

LCM(61203,61219) = 3¹ × 23¹ × 887¹ × 29¹ × 2111¹
LCM(61203,61219) = 3746786457