What is the Least Common Multiple of 62768 and 62778?

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 62768 and 62778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62768 and 62778, than apply into the LCM equation.

GCF(62768,62778) = 2
LCM(62768,62778) = ( 62768 × 62778) / 2
LCM(62768,62778) = 3940449504 / 2
LCM(62768,62778) = 1970224752

Least Common Multiple (LCM) of 62768 and 62778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62768 and 62778. First we will calculate the prime factors of 62768 and 62778.

Prime Factorization of 62768

Prime Factorization of 62778

Now multiplying the highest exponent prime factors to calculate the LCM of 62768 and 62778.

LCM(62768,62778) = 2⁴ × 3923¹ × 3¹ × 10463¹
LCM(62768,62778) = 1970224752