What is the Least Common Multiple of 62040 and 62052?

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 62040 and 62052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62040 and 62052, than apply into the LCM equation.

GCF(62040,62052) = 12
LCM(62040,62052) = ( 62040 × 62052) / 12
LCM(62040,62052) = 3849706080 / 12
LCM(62040,62052) = 320808840

Least Common Multiple (LCM) of 62040 and 62052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62040 and 62052. First we will calculate the prime factors of 62040 and 62052.

Prime Factorization of 62040

Prime Factorization of 62052

Now multiplying the highest exponent prime factors to calculate the LCM of 62040 and 62052.

LCM(62040,62052) = 2³ × 3¹ × 5¹ × 11¹ × 47¹ × 5171¹
LCM(62040,62052) = 320808840