What is the Least Common Multiple of 87370 and 87383?
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 87370 and 87383 is 7634652710.
LCM(87370,87383) = 7634652710
Least Common Multiple of 87370 and 87383 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87370 and 87383, than apply into the LCM equation.
GCF(87370,87383) = 1
LCM(87370,87383) = ( 87370 × 87383) / 1
LCM(87370,87383) = 7634652710 / 1
LCM(87370,87383) = 7634652710
Least Common Multiple (LCM) of 87370 and 87383 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87370 and 87383. First we will calculate the prime factors of 87370 and 87383.
Prime Factorization of 87370
Prime factors of 87370 are 2, 5, 8737. Prime factorization of 87370 in exponential form is:
87370 = 21 × 51 × 87371
Prime Factorization of 87383
Prime factors of 87383 are 87383. Prime factorization of 87383 in exponential form is:
87383 = 873831
Now multiplying the highest exponent prime factors to calculate the LCM of 87370 and 87383.
LCM(87370,87383) = 21 × 51 × 87371 × 873831
LCM(87370,87383) = 7634652710
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