What is the Least Common Multiple of 42737 and 42750?
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 42737 and 42750 is 1827006750.
LCM(42737,42750) = 1827006750
Least Common Multiple of 42737 and 42750 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42737 and 42750, than apply into the LCM equation.
GCF(42737,42750) = 1
LCM(42737,42750) = ( 42737 × 42750) / 1
LCM(42737,42750) = 1827006750 / 1
LCM(42737,42750) = 1827006750
Least Common Multiple (LCM) of 42737 and 42750 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42737 and 42750. First we will calculate the prime factors of 42737 and 42750.
Prime Factorization of 42737
Prime factors of 42737 are 42737. Prime factorization of 42737 in exponential form is:
42737 = 427371
Prime Factorization of 42750
Prime factors of 42750 are 2, 3, 5, 19. Prime factorization of 42750 in exponential form is:
42750 = 21 × 32 × 53 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 42737 and 42750.
LCM(42737,42750) = 427371 × 21 × 32 × 53 × 191
LCM(42737,42750) = 1827006750
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