What is the Least Common Multiple of 39554 and 39574?

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 39554 and 39574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39554 and 39574, than apply into the LCM equation.

GCF(39554,39574) = 2
LCM(39554,39574) = ( 39554 × 39574) / 2
LCM(39554,39574) = 1565309996 / 2
LCM(39554,39574) = 782654998

Least Common Multiple (LCM) of 39554 and 39574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39554 and 39574. First we will calculate the prime factors of 39554 and 39574.

Prime Factorization of 39554

Prime Factorization of 39574

Now multiplying the highest exponent prime factors to calculate the LCM of 39554 and 39574.

LCM(39554,39574) = 2¹ × 19777¹ × 47¹ × 421¹
LCM(39554,39574) = 782654998