What is the Least Common Multiple of 69520 and 69534?

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 69520 and 69534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69520 and 69534, than apply into the LCM equation.

GCF(69520,69534) = 2
LCM(69520,69534) = ( 69520 × 69534) / 2
LCM(69520,69534) = 4834003680 / 2
LCM(69520,69534) = 2417001840

Least Common Multiple (LCM) of 69520 and 69534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69520 and 69534. First we will calculate the prime factors of 69520 and 69534.

Prime Factorization of 69520

Prime Factorization of 69534

Now multiplying the highest exponent prime factors to calculate the LCM of 69520 and 69534.

LCM(69520,69534) = 2⁴ × 5¹ × 11¹ × 79¹ × 3² × 3863¹
LCM(69520,69534) = 2417001840