What is the Least Common Multiple of 70622 and 70630?
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 70622 and 70630 is 2494015930.
LCM(70622,70630) = 2494015930
Least Common Multiple of 70622 and 70630 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70622 and 70630, than apply into the LCM equation.
GCF(70622,70630) = 2
LCM(70622,70630) = ( 70622 × 70630) / 2
LCM(70622,70630) = 4988031860 / 2
LCM(70622,70630) = 2494015930
Least Common Multiple (LCM) of 70622 and 70630 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70622 and 70630. First we will calculate the prime factors of 70622 and 70630.
Prime Factorization of 70622
Prime factors of 70622 are 2, 35311. Prime factorization of 70622 in exponential form is:
70622 = 21 × 353111
Prime Factorization of 70630
Prime factors of 70630 are 2, 5, 7, 1009. Prime factorization of 70630 in exponential form is:
70630 = 21 × 51 × 71 × 10091
Now multiplying the highest exponent prime factors to calculate the LCM of 70622 and 70630.
LCM(70622,70630) = 21 × 353111 × 51 × 71 × 10091
LCM(70622,70630) = 2494015930
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