What is the Least Common Multiple of 49520 and 49534?

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 49520 and 49534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49520 and 49534, than apply into the LCM equation.

GCF(49520,49534) = 2
LCM(49520,49534) = ( 49520 × 49534) / 2
LCM(49520,49534) = 2452923680 / 2
LCM(49520,49534) = 1226461840

Least Common Multiple (LCM) of 49520 and 49534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49520 and 49534. First we will calculate the prime factors of 49520 and 49534.

Prime Factorization of 49520

Prime Factorization of 49534

Now multiplying the highest exponent prime factors to calculate the LCM of 49520 and 49534.

LCM(49520,49534) = 2⁴ × 5¹ × 619¹ × 24767¹
LCM(49520,49534) = 1226461840