What is the Least Common Multiple of 72046 and 72052?

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 72046 and 72052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72046 and 72052, than apply into the LCM equation.

GCF(72046,72052) = 2
LCM(72046,72052) = ( 72046 × 72052) / 2
LCM(72046,72052) = 5191058392 / 2
LCM(72046,72052) = 2595529196

Least Common Multiple (LCM) of 72046 and 72052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72046 and 72052. First we will calculate the prime factors of 72046 and 72052.

Prime Factorization of 72046

Prime Factorization of 72052

Now multiplying the highest exponent prime factors to calculate the LCM of 72046 and 72052.

LCM(72046,72052) = 2² × 13¹ × 17¹ × 163¹ × 18013¹
LCM(72046,72052) = 2595529196