What is the Least Common Multiple of 60920 and 60935?

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 60920 and 60935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60920 and 60935, than apply into the LCM equation.

GCF(60920,60935) = 5
LCM(60920,60935) = ( 60920 × 60935) / 5
LCM(60920,60935) = 3712160200 / 5
LCM(60920,60935) = 742432040

Least Common Multiple (LCM) of 60920 and 60935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60920 and 60935. First we will calculate the prime factors of 60920 and 60935.

Prime Factorization of 60920

Prime Factorization of 60935

Now multiplying the highest exponent prime factors to calculate the LCM of 60920 and 60935.

LCM(60920,60935) = 2³ × 5¹ × 1523¹ × 7¹ × 1741¹
LCM(60920,60935) = 742432040