What is the Least Common Multiple of 70261 and 70280?
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 70261 and 70280 is 4937943080.
LCM(70261,70280) = 4937943080
Least Common Multiple of 70261 and 70280 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70261 and 70280, than apply into the LCM equation.
GCF(70261,70280) = 1
LCM(70261,70280) = ( 70261 × 70280) / 1
LCM(70261,70280) = 4937943080 / 1
LCM(70261,70280) = 4937943080
Least Common Multiple (LCM) of 70261 and 70280 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70261 and 70280. First we will calculate the prime factors of 70261 and 70280.
Prime Factorization of 70261
Prime factors of 70261 are 17, 4133. Prime factorization of 70261 in exponential form is:
70261 = 171 × 41331
Prime Factorization of 70280
Prime factors of 70280 are 2, 5, 7, 251. Prime factorization of 70280 in exponential form is:
70280 = 23 × 51 × 71 × 2511
Now multiplying the highest exponent prime factors to calculate the LCM of 70261 and 70280.
LCM(70261,70280) = 171 × 41331 × 23 × 51 × 71 × 2511
LCM(70261,70280) = 4937943080
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