What is the Least Common Multiple of 97611 and 97630?
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 97611 and 97630 is 9529761930.
LCM(97611,97630) = 9529761930
Least Common Multiple of 97611 and 97630 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97611 and 97630, than apply into the LCM equation.
GCF(97611,97630) = 1
LCM(97611,97630) = ( 97611 × 97630) / 1
LCM(97611,97630) = 9529761930 / 1
LCM(97611,97630) = 9529761930
Least Common Multiple (LCM) of 97611 and 97630 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97611 and 97630. First we will calculate the prime factors of 97611 and 97630.
Prime Factorization of 97611
Prime factors of 97611 are 3, 32537. Prime factorization of 97611 in exponential form is:
97611 = 31 × 325371
Prime Factorization of 97630
Prime factors of 97630 are 2, 5, 13, 751. Prime factorization of 97630 in exponential form is:
97630 = 21 × 51 × 131 × 7511
Now multiplying the highest exponent prime factors to calculate the LCM of 97611 and 97630.
LCM(97611,97630) = 31 × 325371 × 21 × 51 × 131 × 7511
LCM(97611,97630) = 9529761930
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