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What is the Least Common Multiple of 52750 and 52767?

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 52750 and 52767 is 2783459250.

LCM(52750,52767) = 2783459250

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Least Common Multiple of 52750 and 52767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52750 and 52767, than apply into the LCM equation.

GCF(52750,52767) = 1
LCM(52750,52767) = ( 52750 × 52767) / 1
LCM(52750,52767) = 2783459250 / 1
LCM(52750,52767) = 2783459250

Least Common Multiple (LCM) of 52750 and 52767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52750 and 52767. First we will calculate the prime factors of 52750 and 52767.

Prime Factorization of 52750

Prime factors of 52750 are 2, 5, 211. Prime factorization of 52750 in exponential form is:

52750 = 21 × 53 × 2111

Prime Factorization of 52767

Prime factors of 52767 are 3, 11, 13, 41. Prime factorization of 52767 in exponential form is:

52767 = 32 × 111 × 131 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 52750 and 52767.

LCM(52750,52767) = 21 × 53 × 2111 × 32 × 111 × 131 × 411
LCM(52750,52767) = 2783459250