What is the Least Common Multiple of 87437 and 87446?
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 87437 and 87446 is 7646015902.
LCM(87437,87446) = 7646015902
Least Common Multiple of 87437 and 87446 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87437 and 87446, than apply into the LCM equation.
GCF(87437,87446) = 1
LCM(87437,87446) = ( 87437 × 87446) / 1
LCM(87437,87446) = 7646015902 / 1
LCM(87437,87446) = 7646015902
Least Common Multiple (LCM) of 87437 and 87446 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87437 and 87446. First we will calculate the prime factors of 87437 and 87446.
Prime Factorization of 87437
Prime factors of 87437 are 7, 12491. Prime factorization of 87437 in exponential form is:
87437 = 71 × 124911
Prime Factorization of 87446
Prime factors of 87446 are 2, 23, 1901. Prime factorization of 87446 in exponential form is:
87446 = 21 × 231 × 19011
Now multiplying the highest exponent prime factors to calculate the LCM of 87437 and 87446.
LCM(87437,87446) = 71 × 124911 × 21 × 231 × 19011
LCM(87437,87446) = 7646015902
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