What is the Least Common Multiple of 87620 and 87626?
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 87620 and 87626 is 3838895060.
LCM(87620,87626) = 3838895060
Least Common Multiple of 87620 and 87626 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87620 and 87626, than apply into the LCM equation.
GCF(87620,87626) = 2
LCM(87620,87626) = ( 87620 × 87626) / 2
LCM(87620,87626) = 7677790120 / 2
LCM(87620,87626) = 3838895060
Least Common Multiple (LCM) of 87620 and 87626 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87620 and 87626. First we will calculate the prime factors of 87620 and 87626.
Prime Factorization of 87620
Prime factors of 87620 are 2, 5, 13, 337. Prime factorization of 87620 in exponential form is:
87620 = 22 × 51 × 131 × 3371
Prime Factorization of 87626
Prime factors of 87626 are 2, 7, 11, 569. Prime factorization of 87626 in exponential form is:
87626 = 21 × 71 × 111 × 5691
Now multiplying the highest exponent prime factors to calculate the LCM of 87620 and 87626.
LCM(87620,87626) = 22 × 51 × 131 × 3371 × 71 × 111 × 5691
LCM(87620,87626) = 3838895060
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