What is the Least Common Multiple of 63760 and 63774?

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 63760 and 63774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63760 and 63774, than apply into the LCM equation.

GCF(63760,63774) = 2
LCM(63760,63774) = ( 63760 × 63774) / 2
LCM(63760,63774) = 4066230240 / 2
LCM(63760,63774) = 2033115120

Least Common Multiple (LCM) of 63760 and 63774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63760 and 63774. First we will calculate the prime factors of 63760 and 63774.

Prime Factorization of 63760

Prime Factorization of 63774

Now multiplying the highest exponent prime factors to calculate the LCM of 63760 and 63774.

LCM(63760,63774) = 2⁴ × 5¹ × 797¹ × 3³ × 1181¹
LCM(63760,63774) = 2033115120