What is the Least Common Multiple of 39530 and 39549?

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 39530 and 39549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39530 and 39549, than apply into the LCM equation.

GCF(39530,39549) = 1
LCM(39530,39549) = ( 39530 × 39549) / 1
LCM(39530,39549) = 1563371970 / 1
LCM(39530,39549) = 1563371970

Least Common Multiple (LCM) of 39530 and 39549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39530 and 39549. First we will calculate the prime factors of 39530 and 39549.

Prime Factorization of 39530

Prime Factorization of 39549

Now multiplying the highest exponent prime factors to calculate the LCM of 39530 and 39549.

LCM(39530,39549) = 2¹ × 5¹ × 59¹ × 67¹ × 3¹ × 13183¹
LCM(39530,39549) = 1563371970