What is the Least Common Multiple of 62076 and 62080?

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 62076 and 62080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62076 and 62080, than apply into the LCM equation.

GCF(62076,62080) = 4
LCM(62076,62080) = ( 62076 × 62080) / 4
LCM(62076,62080) = 3853678080 / 4
LCM(62076,62080) = 963419520

Least Common Multiple (LCM) of 62076 and 62080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62076 and 62080. First we will calculate the prime factors of 62076 and 62080.

Prime Factorization of 62076

Prime Factorization of 62080

Now multiplying the highest exponent prime factors to calculate the LCM of 62076 and 62080.

LCM(62076,62080) = 2⁷ × 3¹ × 7¹ × 739¹ × 5¹ × 97¹
LCM(62076,62080) = 963419520