What is the Least Common Multiple of 97749 and 97754?
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 97749 and 97754 is 9555355746.
LCM(97749,97754) = 9555355746
Least Common Multiple of 97749 and 97754 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97749 and 97754, than apply into the LCM equation.
GCF(97749,97754) = 1
LCM(97749,97754) = ( 97749 × 97754) / 1
LCM(97749,97754) = 9555355746 / 1
LCM(97749,97754) = 9555355746
Least Common Multiple (LCM) of 97749 and 97754 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97749 and 97754. First we will calculate the prime factors of 97749 and 97754.
Prime Factorization of 97749
Prime factors of 97749 are 3, 10861. Prime factorization of 97749 in exponential form is:
97749 = 32 × 108611
Prime Factorization of 97754
Prime factors of 97754 are 2, 37, 1321. Prime factorization of 97754 in exponential form is:
97754 = 21 × 371 × 13211
Now multiplying the highest exponent prime factors to calculate the LCM of 97749 and 97754.
LCM(97749,97754) = 32 × 108611 × 21 × 371 × 13211
LCM(97749,97754) = 9555355746
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