What is the Least Common Multiple of 62760 and 62780?

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 62760 and 62780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62760 and 62780, than apply into the LCM equation.

GCF(62760,62780) = 20
LCM(62760,62780) = ( 62760 × 62780) / 20
LCM(62760,62780) = 3940072800 / 20
LCM(62760,62780) = 197003640

Least Common Multiple (LCM) of 62760 and 62780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62760 and 62780. First we will calculate the prime factors of 62760 and 62780.

Prime Factorization of 62760

Prime Factorization of 62780

Now multiplying the highest exponent prime factors to calculate the LCM of 62760 and 62780.

LCM(62760,62780) = 2³ × 3¹ × 5¹ × 523¹ × 43¹ × 73¹
LCM(62760,62780) = 197003640