What is the Least Common Multiple of 80402 and 80411?
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 80402 and 80411 is 6465205222.
LCM(80402,80411) = 6465205222
Least Common Multiple of 80402 and 80411 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80402 and 80411, than apply into the LCM equation.
GCF(80402,80411) = 1
LCM(80402,80411) = ( 80402 × 80411) / 1
LCM(80402,80411) = 6465205222 / 1
LCM(80402,80411) = 6465205222
Least Common Multiple (LCM) of 80402 and 80411 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80402 and 80411. First we will calculate the prime factors of 80402 and 80411.
Prime Factorization of 80402
Prime factors of 80402 are 2, 7, 5743. Prime factorization of 80402 in exponential form is:
80402 = 21 × 71 × 57431
Prime Factorization of 80411
Prime factors of 80411 are 191, 421. Prime factorization of 80411 in exponential form is:
80411 = 1911 × 4211
Now multiplying the highest exponent prime factors to calculate the LCM of 80402 and 80411.
LCM(80402,80411) = 21 × 71 × 57431 × 1911 × 4211
LCM(80402,80411) = 6465205222
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