What is the Least Common Multiple of 38236 and 38252?

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 of 38236 and 38252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38236 and 38252, than apply into the LCM equation.

GCF(38236,38252) = 4
LCM(38236,38252) = ( 38236 × 38252) / 4
LCM(38236,38252) = 1462603472 / 4
LCM(38236,38252) = 365650868

Least Common Multiple (LCM) of 38236 and 38252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38236 and 38252. First we will calculate the prime factors of 38236 and 38252.

Prime Factorization of 38236

Prime Factorization of 38252

Now multiplying the highest exponent prime factors to calculate the LCM of 38236 and 38252.

LCM(38236,38252) = 2² × 11² × 79¹ × 73¹ × 131¹
LCM(38236,38252) = 365650868