What is the Least Common Multiple of 63776 and 63791?

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 63776 and 63791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63776 and 63791, than apply into the LCM equation.

GCF(63776,63791) = 1
LCM(63776,63791) = ( 63776 × 63791) / 1
LCM(63776,63791) = 4068334816 / 1
LCM(63776,63791) = 4068334816

Least Common Multiple (LCM) of 63776 and 63791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63776 and 63791. First we will calculate the prime factors of 63776 and 63791.

Prime Factorization of 63776

Prime Factorization of 63791

Now multiplying the highest exponent prime factors to calculate the LCM of 63776 and 63791.

LCM(63776,63791) = 2⁵ × 1993¹ × 7¹ × 13¹ × 701¹
LCM(63776,63791) = 4068334816