What is the Least Common Multiple of 88792 and 88807?
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 88792 and 88807 is 7885351144.
LCM(88792,88807) = 7885351144
Least Common Multiple of 88792 and 88807 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88792 and 88807, than apply into the LCM equation.
GCF(88792,88807) = 1
LCM(88792,88807) = ( 88792 × 88807) / 1
LCM(88792,88807) = 7885351144 / 1
LCM(88792,88807) = 7885351144
Least Common Multiple (LCM) of 88792 and 88807 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88792 and 88807. First we will calculate the prime factors of 88792 and 88807.
Prime Factorization of 88792
Prime factors of 88792 are 2, 11, 1009. Prime factorization of 88792 in exponential form is:
88792 = 23 × 111 × 10091
Prime Factorization of 88807
Prime factors of 88807 are 88807. Prime factorization of 88807 in exponential form is:
88807 = 888071
Now multiplying the highest exponent prime factors to calculate the LCM of 88792 and 88807.
LCM(88792,88807) = 23 × 111 × 10091 × 888071
LCM(88792,88807) = 7885351144
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