What is the Least Common Multiple of 87236 and 87251?
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 87236 and 87251 is 7611428236.
LCM(87236,87251) = 7611428236
Least Common Multiple of 87236 and 87251 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87236 and 87251, than apply into the LCM equation.
GCF(87236,87251) = 1
LCM(87236,87251) = ( 87236 × 87251) / 1
LCM(87236,87251) = 7611428236 / 1
LCM(87236,87251) = 7611428236
Least Common Multiple (LCM) of 87236 and 87251 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87236 and 87251. First we will calculate the prime factors of 87236 and 87251.
Prime Factorization of 87236
Prime factors of 87236 are 2, 113, 193. Prime factorization of 87236 in exponential form is:
87236 = 22 × 1131 × 1931
Prime Factorization of 87251
Prime factors of 87251 are 87251. Prime factorization of 87251 in exponential form is:
87251 = 872511
Now multiplying the highest exponent prime factors to calculate the LCM of 87236 and 87251.
LCM(87236,87251) = 22 × 1131 × 1931 × 872511
LCM(87236,87251) = 7611428236
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