What is the Least Common Multiple of 62760 and 62776?

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 62776 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 62776, than apply into the LCM equation.

GCF(62760,62776) = 8
LCM(62760,62776) = ( 62760 × 62776) / 8
LCM(62760,62776) = 3939821760 / 8
LCM(62760,62776) = 492477720

Least Common Multiple (LCM) of 62760 and 62776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62760 and 62776. First we will calculate the prime factors of 62760 and 62776.

Prime Factorization of 62760

Prime Factorization of 62776

Now multiplying the highest exponent prime factors to calculate the LCM of 62760 and 62776.

LCM(62760,62776) = 2³ × 3¹ × 5¹ × 523¹ × 7¹ × 19¹ × 59¹
LCM(62760,62776) = 492477720