What is the Least Common Multiple of 57770 and 57778?

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 57770 and 57778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57770 and 57778, than apply into the LCM equation.

GCF(57770,57778) = 2
LCM(57770,57778) = ( 57770 × 57778) / 2
LCM(57770,57778) = 3337835060 / 2
LCM(57770,57778) = 1668917530

Least Common Multiple (LCM) of 57770 and 57778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57770 and 57778. First we will calculate the prime factors of 57770 and 57778.

Prime Factorization of 57770

Prime Factorization of 57778

Now multiplying the highest exponent prime factors to calculate the LCM of 57770 and 57778.

LCM(57770,57778) = 2¹ × 5¹ × 53¹ × 109¹ × 7¹ × 4127¹
LCM(57770,57778) = 1668917530