What is the Least Common Multiple of 67760 and 67778?

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 67760 and 67778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67760 and 67778, than apply into the LCM equation.

GCF(67760,67778) = 2
LCM(67760,67778) = ( 67760 × 67778) / 2
LCM(67760,67778) = 4592637280 / 2
LCM(67760,67778) = 2296318640

Least Common Multiple (LCM) of 67760 and 67778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67760 and 67778. First we will calculate the prime factors of 67760 and 67778.

Prime Factorization of 67760

Prime Factorization of 67778

Now multiplying the highest exponent prime factors to calculate the LCM of 67760 and 67778.

LCM(67760,67778) = 2⁴ × 5¹ × 7¹ × 11² × 33889¹
LCM(67760,67778) = 2296318640