What is the Least Common Multiple of 40373 and 40378?
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 40373 and 40378 is 1630180994.
LCM(40373,40378) = 1630180994
Least Common Multiple of 40373 and 40378 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40373 and 40378, than apply into the LCM equation.
GCF(40373,40378) = 1
LCM(40373,40378) = ( 40373 × 40378) / 1
LCM(40373,40378) = 1630180994 / 1
LCM(40373,40378) = 1630180994
Least Common Multiple (LCM) of 40373 and 40378 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40373 and 40378. First we will calculate the prime factors of 40373 and 40378.
Prime Factorization of 40373
Prime factors of 40373 are 47, 859. Prime factorization of 40373 in exponential form is:
40373 = 471 × 8591
Prime Factorization of 40378
Prime factors of 40378 are 2, 13, 1553. Prime factorization of 40378 in exponential form is:
40378 = 21 × 131 × 15531
Now multiplying the highest exponent prime factors to calculate the LCM of 40373 and 40378.
LCM(40373,40378) = 471 × 8591 × 21 × 131 × 15531
LCM(40373,40378) = 1630180994
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