What is the Least Common Multiple of 88633 and 88637?
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 88633 and 88637 is 7856163221.
LCM(88633,88637) = 7856163221
Least Common Multiple of 88633 and 88637 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88633 and 88637, than apply into the LCM equation.
GCF(88633,88637) = 1
LCM(88633,88637) = ( 88633 × 88637) / 1
LCM(88633,88637) = 7856163221 / 1
LCM(88633,88637) = 7856163221
Least Common Multiple (LCM) of 88633 and 88637 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88633 and 88637. First we will calculate the prime factors of 88633 and 88637.
Prime Factorization of 88633
Prime factors of 88633 are 61, 1453. Prime factorization of 88633 in exponential form is:
88633 = 611 × 14531
Prime Factorization of 88637
Prime factors of 88637 are 151, 587. Prime factorization of 88637 in exponential form is:
88637 = 1511 × 5871
Now multiplying the highest exponent prime factors to calculate the LCM of 88633 and 88637.
LCM(88633,88637) = 611 × 14531 × 1511 × 5871
LCM(88633,88637) = 7856163221
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