What is the Least Common Multiple of 19758 and 19776?

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 19758 and 19776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19758 and 19776, than apply into the LCM equation.

GCF(19758,19776) = 6
LCM(19758,19776) = ( 19758 × 19776) / 6
LCM(19758,19776) = 390734208 / 6
LCM(19758,19776) = 65122368

Least Common Multiple (LCM) of 19758 and 19776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19758 and 19776. First we will calculate the prime factors of 19758 and 19776.

Prime Factorization of 19758

Prime Factorization of 19776

Now multiplying the highest exponent prime factors to calculate the LCM of 19758 and 19776.

LCM(19758,19776) = 2⁶ × 3¹ × 37¹ × 89¹ × 103¹
LCM(19758,19776) = 65122368