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What is the Least Common Multiple of 60932 and 60950?

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 (LCM) of 60932 and 60950 is 1856902700.

LCM(60932,60950) = 1856902700

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Least Common Multiple of 60932 and 60950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60932 and 60950, than apply into the LCM equation.

GCF(60932,60950) = 2
LCM(60932,60950) = ( 60932 × 60950) / 2
LCM(60932,60950) = 3713805400 / 2
LCM(60932,60950) = 1856902700

Least Common Multiple (LCM) of 60932 and 60950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60932 and 60950. First we will calculate the prime factors of 60932 and 60950.

Prime Factorization of 60932

Prime factors of 60932 are 2, 15233. Prime factorization of 60932 in exponential form is:

60932 = 22 × 152331

Prime Factorization of 60950

Prime factors of 60950 are 2, 5, 23, 53. Prime factorization of 60950 in exponential form is:

60950 = 21 × 52 × 231 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 60932 and 60950.

LCM(60932,60950) = 22 × 152331 × 52 × 231 × 531
LCM(60932,60950) = 1856902700