What is the Least Common Multiple of 43926 and 43945?

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 43926 and 43945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43926 and 43945, than apply into the LCM equation.

GCF(43926,43945) = 1
LCM(43926,43945) = ( 43926 × 43945) / 1
LCM(43926,43945) = 1930328070 / 1
LCM(43926,43945) = 1930328070

Least Common Multiple (LCM) of 43926 and 43945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43926 and 43945. First we will calculate the prime factors of 43926 and 43945.

Prime Factorization of 43926

Prime Factorization of 43945

Now multiplying the highest exponent prime factors to calculate the LCM of 43926 and 43945.

LCM(43926,43945) = 2¹ × 3¹ × 7321¹ × 5¹ × 11¹ × 17¹ × 47¹
LCM(43926,43945) = 1930328070