What is the Least Common Multiple of 84727 and 84731?
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 84727 and 84731 is 7179003437.
LCM(84727,84731) = 7179003437
Least Common Multiple of 84727 and 84731 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84727 and 84731, than apply into the LCM equation.
GCF(84727,84731) = 1
LCM(84727,84731) = ( 84727 × 84731) / 1
LCM(84727,84731) = 7179003437 / 1
LCM(84727,84731) = 7179003437
Least Common Multiple (LCM) of 84727 and 84731 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84727 and 84731. First we will calculate the prime factors of 84727 and 84731.
Prime Factorization of 84727
Prime factors of 84727 are 193, 439. Prime factorization of 84727 in exponential form is:
84727 = 1931 × 4391
Prime Factorization of 84731
Prime factors of 84731 are 84731. Prime factorization of 84731 in exponential form is:
84731 = 847311
Now multiplying the highest exponent prime factors to calculate the LCM of 84727 and 84731.
LCM(84727,84731) = 1931 × 4391 × 847311
LCM(84727,84731) = 7179003437
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