What is the Least Common Multiple of 90419 and 90426?
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 90419 and 90426 is 1168032642.
LCM(90419,90426) = 1168032642
Least Common Multiple of 90419 and 90426 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90419 and 90426, than apply into the LCM equation.
GCF(90419,90426) = 7
LCM(90419,90426) = ( 90419 × 90426) / 7
LCM(90419,90426) = 8176228494 / 7
LCM(90419,90426) = 1168032642
Least Common Multiple (LCM) of 90419 and 90426 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90419 and 90426. First we will calculate the prime factors of 90419 and 90426.
Prime Factorization of 90419
Prime factors of 90419 are 7, 12917. Prime factorization of 90419 in exponential form is:
90419 = 71 × 129171
Prime Factorization of 90426
Prime factors of 90426 are 2, 3, 7, 2153. Prime factorization of 90426 in exponential form is:
90426 = 21 × 31 × 71 × 21531
Now multiplying the highest exponent prime factors to calculate the LCM of 90419 and 90426.
LCM(90419,90426) = 71 × 129171 × 21 × 31 × 21531
LCM(90419,90426) = 1168032642
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