What is the Least Common Multiple of 59046 and 59052?

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 59046 and 59052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59046 and 59052, than apply into the LCM equation.

GCF(59046,59052) = 6
LCM(59046,59052) = ( 59046 × 59052) / 6
LCM(59046,59052) = 3486784392 / 6
LCM(59046,59052) = 581130732

Least Common Multiple (LCM) of 59046 and 59052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59046 and 59052. First we will calculate the prime factors of 59046 and 59052.

Prime Factorization of 59046

Prime Factorization of 59052

Now multiplying the highest exponent prime factors to calculate the LCM of 59046 and 59052.

LCM(59046,59052) = 2² × 3¹ × 13¹ × 757¹ × 7¹ × 19¹ × 37¹
LCM(59046,59052) = 581130732