What is the Least Common Multiple of 61294 and 61305?

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 61294 and 61305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61294 and 61305, than apply into the LCM equation.

GCF(61294,61305) = 1
LCM(61294,61305) = ( 61294 × 61305) / 1
LCM(61294,61305) = 3757628670 / 1
LCM(61294,61305) = 3757628670

Least Common Multiple (LCM) of 61294 and 61305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61294 and 61305. First we will calculate the prime factors of 61294 and 61305.

Prime Factorization of 61294

Prime Factorization of 61305

Now multiplying the highest exponent prime factors to calculate the LCM of 61294 and 61305.

LCM(61294,61305) = 2¹ × 19¹ × 1613¹ × 3¹ × 5¹ × 61¹ × 67¹
LCM(61294,61305) = 3757628670