What is the Least Common Multiple of 47770 and 47776?

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 47770 and 47776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47770 and 47776, than apply into the LCM equation.

GCF(47770,47776) = 2
LCM(47770,47776) = ( 47770 × 47776) / 2
LCM(47770,47776) = 2282259520 / 2
LCM(47770,47776) = 1141129760

Least Common Multiple (LCM) of 47770 and 47776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47770 and 47776. First we will calculate the prime factors of 47770 and 47776.

Prime Factorization of 47770

Prime Factorization of 47776

Now multiplying the highest exponent prime factors to calculate the LCM of 47770 and 47776.

LCM(47770,47776) = 2⁵ × 5¹ × 17¹ × 281¹ × 1493¹
LCM(47770,47776) = 1141129760