What is the Least Common Multiple of 91753 and 91762?
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 91753 and 91762 is 8419438786.
LCM(91753,91762) = 8419438786
Least Common Multiple of 91753 and 91762 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91753 and 91762, than apply into the LCM equation.
GCF(91753,91762) = 1
LCM(91753,91762) = ( 91753 × 91762) / 1
LCM(91753,91762) = 8419438786 / 1
LCM(91753,91762) = 8419438786
Least Common Multiple (LCM) of 91753 and 91762 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91753 and 91762. First we will calculate the prime factors of 91753 and 91762.
Prime Factorization of 91753
Prime factors of 91753 are 91753. Prime factorization of 91753 in exponential form is:
91753 = 917531
Prime Factorization of 91762
Prime factors of 91762 are 2, 11, 43, 97. Prime factorization of 91762 in exponential form is:
91762 = 21 × 111 × 431 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 91753 and 91762.
LCM(91753,91762) = 917531 × 21 × 111 × 431 × 971
LCM(91753,91762) = 8419438786
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